(11x+12)(6x+7)=

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Solution for (11x+12)(6x+7)= equation: 


Simplifying
(11x + 12)(6x + 7) = 0

Reorder the terms:
(12 + 11x)(6x + 7) = 0

Reorder the terms:
(12 + 11x)(7 + 6x) = 0

Multiply (12 + 11x) * (7 + 6x)
(12(7 + 6x) + 11x * (7 + 6x)) = 0
((7 * 12 + 6x * 12) + 11x * (7 + 6x)) = 0
((84 + 72x) + 11x * (7 + 6x)) = 0
(84 + 72x + (7 * 11x + 6x * 11x)) = 0
(84 + 72x + (77x + 66x2)) = 0

Combine like terms: 72x + 77x = 149x
(84 + 149x + 66x2) = 0

Solving
84 + 149x + 66x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + 6x)(12 + 11x) = 0


Subproblem 1
Set the factor '(7 + 6x)' equal to zero and attempt to solve:

Simplifying
7 + 6x = 0

Solving
7 + 6x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = 0 + -7
6x = 0 + -7

Combine like terms: 0 + -7 = -7
6x = -7

Divide each side by '6'.
x = -1.166666667

Simplifying
x = -1.166666667

Subproblem 2
Set the factor '(12 + 11x)' equal to zero and attempt to solve:

Simplifying
12 + 11x = 0

Solving
12 + 11x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 11x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 0 + -12
11x = 0 + -12

Combine like terms: 0 + -12 = -12
11x = -12

Divide each side by '11'.
x = -1.090909091

Simplifying
x = -1.090909091
Solution
x = {-1.166666667, -1.090909091}

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